期刊
JOURNAL OF BIOLOGICAL DYNAMICS
卷 8, 期 1, 页码 145-160出版社
TAYLOR & FRANCIS LTD
DOI: 10.1080/17513758.2014.920530
关键词
stage structure; non-monotone functional response; multiple periodic solutions; predator-prey system
The paper studies a periodic and delayed predator-prey system with non-monotonic functional responses and stage structure. In the system, both the predator and prey are divided into immature individuals and mature individuals by two fixed ages. It is assumed that the immature predators cannot attack preys, and the case of the mature predators attacking the immature preys is also ignored. Based on Mawhin's coincidence degree, sufficient conditions are obtained for the existence of two positive periodic solutions of the system. An example is presented to illustrate the feasibility of the main results.
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